CAIE P1 2023 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
TopicBinomial Theorem (positive integer n)
TypeTwo equations from coefficients

2 The coefficient of \(x ^ { 4 }\) in the expansion of \(( x + a ) ^ { 6 }\) is \(p\) and the coefficient of \(x ^ { 2 }\) in the expansion of \(( a x + 3 ) ^ { 4 }\) is \(q\). It is given that \(p + q = 276\). Find the possible values of the constant \(a\).